The 1D stochastic Allen-Cahn equation with localized white noise admits a unique invariant measure and its Markov process is exponentially mixing.
Exponential mixing for random nonlinear wave equations: weak dissipation and localized control
4 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
years
2026 4verdicts
UNVERDICTED 4representative citing papers
Exponential mixing to a unique invariant measure is established for locally damped NLS with bounded degenerate noise on two modes using a new criterion based on asymptotic compactness of the linearized system.
Finite-dimensional Fourier-mode feedback stabilizes the stochastic heat equation with multiplicative noise in both mean-square and almost sure senses, yielding explicit decay rates and a new controllability proof.
Proves the strong Feller property for the Markov process of the 1D stochastic heat equation using Malliavin calculus combined with the moment method.
citing papers explorer
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Exponential mixing for the stochastic Allen--Cahn equation with localized white noise
The 1D stochastic Allen-Cahn equation with localized white noise admits a unique invariant measure and its Markov process is exponentially mixing.
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A note on the strong Feller property via the moment method
Proves the strong Feller property for the Markov process of the 1D stochastic heat equation using Malliavin calculus combined with the moment method.